The revamped tournament will take place at Caja Magica in the Spanish
capital from November 18-24, and world No 1 Djokovic will spearhead the
Djokovic's side are in Group A alongside 2018 runners-up France and Japan.
Spain are the big guns in Group B and current world No 2 Rafael Nadal
is lead the "home" squad, but they are in a difficult group as they
have been paired with defending champions Croatia and Russia, who have
included world No 4 Daniil Medvedev.
Australia captain Lleyton Hewitt, meanwhile, has selected Nick Kyrgios despite their recent differences.
The two had a big fallout last year with Kyrgios not holding back the criticism of Hewitt.
However, they seem to have patched things up.
"For Nick and I this is something that he flagged with me around March and we sat down at Indian Wells," Hewitt said.
"He has been so willing to do whatever it takes to get back into the Davis Cup team and play for Australia."
He added: "Absolutely, he didn't play in Austria last year purely
because of his body. Then obviously he had issues at the start of this
year and for him it was straight away, I got a message: 'Mate, I want to
get back in the team'."
Australia's Group E rivals are Belgium and Colombia.
Andy Murray, fresh from winning his 46th ATP Tour singles title, has
been named in the Great Britain team that will take on Kazakhstan and
the Netherlands in Group E.
Gael Monfils, Benoit Paire, Jo-Wilfried Tsonga, Pierre-Hugues Herbert, Nicolas Mahut. Captain: Sebastien Grosjean
Yoshihito Nishioka, Yasutaka Uchiyama, Yuichi Sugita, Taro Daniel, Ben McLachlan. Captain: Satoshi Iwabuchi
Novak Djokovic, Dusan Lajovic, Filip Krajinovic, Viktor Troicki, Janko Tipsarevic. Captain: Nenad Zimonjic
Marin Cilic, Borna Coric, Mate Pavic, Nikola Mektic, Ivan Dodig. Captain: Zeljko Krajan
Daniil Medvedev, Karen Khachanov, Andrey Rublev, Evgeny Donskoy. Captain: Shamil Tarpishev
Rafael Nadal, Roberto Bautista Agut, Pablo Carreno Busta, Feliciano Lopez, Marcel Granollers.Captain: Sergi Bruguera
Diego Schwartzman, Guido Pella, Leonardo Mayer, Horacio Zeballos. Captain: Gaston Gaudio
Cristian Garin, Nicolas Jarry, Alejandro Tabilo, Marcelo Tomas Barrios Vera, Hans Podlipnik-Castillo. Captain: Nicolas Massu
Jan-Lennard Struff, Philipp Kohlschreiber, Dominik Koepfer, Kevin Krawietz, Andreas Mies. Captain: Michael Kohlmann
Alex de Minaur, Nick Kyrgios, John Millman, Jordan Thompson, John Peers. Captain: Lleyton Hewitt
David Goffin, Kimmer Coppejans, Steve Darcis, Joran Vliegen, Sander Gille. Captain: Johan Van Herck
Daniel Galan, Santiago Giraldo, Alejandro Gonzalez, Juan Sebastian Cabal, Robert Farah. Captain: Pablo Gonzalez
Dan Evans, Andy Murray, Jamie Murray, Neal Skupski. Captain: Leon Smith
Alexander Bublik, Mikhail Kukushkin, Dmitry Popko, Alexsandr Nedovyesov, Andrey Golubev. Captain: Dias Doskarayev
Robin Haase, Tallon Griekspoor, Botic Van de Zandschulp, Wesley Koolhof, Jean-Julien Rojer. Captain: Paul Haarhuis
Milos Raonic, Felix Auger-Aliassime, Denis Shapovalov, Vasek Pospisil. Captain: Frank Dancevic
Matteo Berrettini, Fabio Fognini, Lorenzo Sonego, Andrea Seppi, Simone Bolelli. Captain: Corrado Barazzutti
Taylor Fritz, Reilly Opelka, Sam Querrey, Frances Tiafoe, Jack Sock. Captain: Mardy Fish